Download Copy and complete the table in your notes.

Copy and complete the table in your
notes.
2x
10x
24= _____
104=_____
23= _____
103=_____
22= _____
102=_____
21=_____
101=_____
20=_____
100=_____
2-1=_____
10-1=_____
2-2=_____
10-2=_____
• What pattern do you notice
when you decrease an
exponent by 1?
• What do you think the value of
5-2 is? Explain your reasoning
Zero and Negative Exponents
Section 7.1
Use your calculator to evaluate.
1. 50
2. (-2)0
3. (.45)0
4. (1/7)0
5. (1239)0
What can you
conclude?
A nonzero number to the
zero power ALWAYS equals
one.
Exponent Property of Zero
• Any nonzero number or variable raised to the
zero power is equal to 1.
• Examples
n0  1
(3)0  1
5.150  1
Properties of Negative Exponents
• Negative exponents move the exponent to the
other part of the fraction – reciprocal.
• So, if my exponent is…
▫ In the numerator, flips to the denominator.
▫ In the denominator, flips to the numerator.
• Examples:
7
3
1
 3
7
1
3

3
33
Example 1
-9 is upstairs.
We will flip it…
1
2
 9   92 
1
81
Uncover the Riddle…
Simplifying Exponential Expressions
• Simplest form means: ONLY POSITIVE
EXPONENTS (no negative exponents)
Example 2
3 2
5a b
3
5a
 2
b
4 is upstairs.
We will flip it
down…
Example 3: Evaluate
16
y
y
4 y


2
4 x
x
x
2
4 is downstairs.
We will flip it
up…
Example 4
x is downstairs.
We will flip it up…
 3  3x
4



3x
4
x
1
4
Example 5:
3
4c b
4b
 3
c
4 is downstairs.
We will flip it
down…
Evaluating Expressions
3 2
Simplify
first
3 2
3s t
Put in
Numbers
3s t
3
3s
 2
t
3
3s
 2
t
3
3(2)

2
( 3)
3  8 24 8



9
9 3
Evaluate, given n=-2 and w=5
4
n w
0
1
n
2
w